A wheel which is initially at rest is subject | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Since the angular acceleration $\alpha$ is constant and the initial angular velocity $\omega_0 = 0$, the angle $	heta$ rotated in time $t$ is giv

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(B) Since the angular acceleration $\alpha$ is constant and the initial angular velocity $\omega_0 = 0$, the angle $	heta$ rotated in time $t$ is given by $	heta = \frac{1}{2} \alpha t^2$.Given $	heta = 15^{\circ}$ for time $t$, we have $15^{\circ} = \frac{1}{2} \alpha t^2$ (Equation $1$).Now, we need to find the angle rotated in the next $2t \ s$. The total time elapsed is $t + 2t = 3t \ s$.The total angle $	heta_{total}$ rotated in time $3t$ is $	heta_{total} = \frac{1}{2} \alpha (3t)^2 = 9 	imes (\frac{1}{2} \alpha t^2)$.Substituting Equation $1$ into this, we get $	heta_{total} = 9 	imes 15^{\circ} = 135^{\circ}$.The increase in angle in the next $2t \ s$ is $\Delta 	heta = 	heta_{total} - 	heta = 135^{\circ} - 15^{\circ} = 120^{\circ}$.

$A$ wheel which is initially at rest is subjected to a constant angular acceleration about its axis. It rotates through an angle of $15^{\circ}$ in time $t \ s$. The increase in angle through which it rotates in the next $2t \ s$ is (in $^{\circ}$)

Similar Questions

Identify the increasing order of the angular velocities of the following:
$1$. Earth rotating about its own axis
$2$. Hour hand of a clock
$3$. Second hand of a clock
$4$. Flywheel of radius $2 \ m$ making $300 \ rpm$

$A$ wheel is at rest. Its angular velocity increases uniformly and becomes $60 \ rad/sec$ after $5 \ sec$. The total angular displacement is ........ $rad$.

$A$ rotating wheel changes its angular speed from $ 1800 \ rpm $ to $ 3000 \ rpm $ in $ 20 \ s $. What is the angular acceleration,assuming it to be uniform?

$A$ disc,initially at rest,is rotated about its axis with a uniform angular acceleration. In the first $2 \ s$,it rotates through an angle $\theta$. In the next $2 \ s$,the disc will rotate through an angle:

$A$ particle performing $U.C.M.$ of radius $\frac{\pi}{2} \ m$ makes $x$ revolutions in time $t$. Its tangential velocity is

Vedclass Test Series

Exam Paper Generator

Online Exam Module